What is the Least Common Multiple of 25278 and 25293?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 25278 and 25293 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25278 and 25293, than apply into the LCM equation.

GCF(25278,25293) = 3
LCM(25278,25293) = ( 25278 × 25293) / 3
LCM(25278,25293) = 639356454 / 3
LCM(25278,25293) = 213118818

Least Common Multiple (LCM) of 25278 and 25293 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25278 and 25293. First we will calculate the prime factors of 25278 and 25293.

Prime Factorization of 25278

Prime Factorization of 25293

Now multiplying the highest exponent prime factors to calculate the LCM of 25278 and 25293.

LCM(25278,25293) = 2¹ × 3¹ × 11¹ × 383¹ × 8431¹
LCM(25278,25293) = 213118818